2(5x+1)=7x+42

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Solution for 2(5x+1)=7x+42 equation:


Simplifying
2(5x + 1) = 7x + 42

Reorder the terms:
2(1 + 5x) = 7x + 42
(1 * 2 + 5x * 2) = 7x + 42
(2 + 10x) = 7x + 42

Reorder the terms:
2 + 10x = 42 + 7x

Solving
2 + 10x = 42 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
2 + 10x + -7x = 42 + 7x + -7x

Combine like terms: 10x + -7x = 3x
2 + 3x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 3x = 42 + 0
2 + 3x = 42

Add '-2' to each side of the equation.
2 + -2 + 3x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 42 + -2
3x = 42 + -2

Combine like terms: 42 + -2 = 40
3x = 40

Divide each side by '3'.
x = 13.33333333

Simplifying
x = 13.33333333

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